Edelvik, F.; Görtz, M.; Hellman, F.; Kettil, G.; Målqvist, A. Numerical homogenization of spatial network models. (English) Zbl 07823467 Comput. Methods Appl. Mech. Eng. 418, Part B, Article ID 116593, 17 p. (2024). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{F. Edelvik} et al., Comput. Methods Appl. Mech. Eng. 418, Part B, Article ID 116593, 17 p. (2024; Zbl 07823467) Full Text: DOI arXiv
Carstensen, Carsten; Gräßle, Benedikt; Nataraj, Neela Unifying a posteriori error analysis of five piecewise quadratic discretisations for the biharmonic equation. (English) Zbl 07818545 J. Numer. Math. 32, No. 1, 77-109 (2024). MSC: 65N30 65N12 65N15 65N50 31A30 PDFBibTeX XMLCite \textit{C. Carstensen} et al., J. Numer. Math. 32, No. 1, 77--109 (2024; Zbl 07818545) Full Text: DOI arXiv
Jules, Djoko Kamdem; Hagos, Gidey; Jonas, Koko; Toni, Sayah Discontinuous Galerkin methods for Stokes equations under power law slip boundary condition: a priori analysis. (English) Zbl 07814907 Calcolo 61, No. 1, Paper No. 13, 35 p. (2024). MSC: 65N30 65N12 65N15 76D07 76D10 76A05 35B45 41A25 35Q35 PDFBibTeX XMLCite \textit{D. K. Jules} et al., Calcolo 61, No. 1, Paper No. 13, 35 p. (2024; Zbl 07814907) Full Text: DOI
Manohar, Ram Error analysis for finite element approximation of parabolic Neumann boundary control problems. (English) Zbl 07813457 Comput. Math. Appl. 158, 102-117 (2024). MSC: 65-XX 93-XX PDFBibTeX XMLCite \textit{R. Manohar}, Comput. Math. Appl. 158, 102--117 (2024; Zbl 07813457) Full Text: DOI
Monsuur, Harald; Stevenson, Rob; Storn, Johannes Minimal residual methods in negative or fractional Sobolev norms. (English) Zbl 07810326 Math. Comput. 93, No. 347, 1027-1052 (2024). MSC: 65F10 35B35 35B45 65N30 PDFBibTeX XMLCite \textit{H. Monsuur} et al., Math. Comput. 93, No. 347, 1027--1052 (2024; Zbl 07810326) Full Text: DOI arXiv
Ku, JaEun; Stynes, Martin A posteriori error estimates for a dual finite element method for singularly perturbed reaction-diffusion problems. (English) Zbl 07807776 BIT 64, No. 1, Paper No. 7, 24 p. (2024). MSC: 65N30 65N15 35B25 35J15 PDFBibTeX XMLCite \textit{J. Ku} and \textit{M. Stynes}, BIT 64, No. 1, Paper No. 7, 24 p. (2024; Zbl 07807776) Full Text: DOI
Zhang, Shangyou Neilan’s divergence-free finite elements for Stokes equations on tetrahedral grids. (English) Zbl 07798408 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e23055, 27 p. (2024). MSC: 65N30 76M10 PDFBibTeX XMLCite \textit{S. Zhang}, Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e23055, 27 p. (2024; Zbl 07798408) Full Text: DOI
Wang, Shixi; Bi, Hai; Yang, Yidu An adaptive FEM for the elastic transmission eigenvalue problem with different elastic tensors and different mass densities. (English) Zbl 07796540 Adv. Comput. Math. 50, No. 1, Paper No. 8, 28 p. (2024). MSC: 65N25 65N30 65N50 65N15 37K15 74B05 35Q74 PDFBibTeX XMLCite \textit{S. Wang} et al., Adv. Comput. Math. 50, No. 1, Paper No. 8, 28 p. (2024; Zbl 07796540) Full Text: DOI
Hellman, Fredrik; Målqvist, Axel; Mosquera, Malin Well-posedness and finite element approximation of mixed dimensional partial differential equations. (English) Zbl 07790947 BIT 64, No. 1, Paper No. 2, 22 p. (2024). MSC: 65N30 65N15 65F08 65F10 35J05 35A01 35A02 35B65 35B45 PDFBibTeX XMLCite \textit{F. Hellman} et al., BIT 64, No. 1, Paper No. 2, 22 p. (2024; Zbl 07790947) Full Text: DOI arXiv OA License
Camargo, Liliana; López-Rodríguez, Bibiana; Osorio, Mauricio; Solano, Manuel An adaptive and quasi-periodic HDG method for Maxwell’s equations in heterogeneous media. (English) Zbl 07784041 J. Sci. Comput. 98, No. 1, Paper No. 7, 32 p. (2024). MSC: 65N30 65N12 65N15 78A25 78M10 31A30 35Q61 PDFBibTeX XMLCite \textit{L. Camargo} et al., J. Sci. Comput. 98, No. 1, Paper No. 7, 32 p. (2024; Zbl 07784041) Full Text: DOI OA License
Li, Hongliang; Ming, Pingbing An asymptotic-preserving finite element method for a forth order singular perturbation problem with boundary layers. (English) Zbl 07782664 Appl. Math. Lett. 149, Article ID 108923, 5 p. (2024). MSC: 65N30 35B25 35A15 35B65 35A01 35A02 78A30 PDFBibTeX XMLCite \textit{H. Li} and \textit{P. Ming}, Appl. Math. Lett. 149, Article ID 108923, 5 p. (2024; Zbl 07782664) Full Text: DOI
Du, Zhijie; Duan, Huoyuan Analysis of a direct discretization of the Maxwell eigenproblem. (English) Zbl 07782663 Appl. Math. Lett. 149, Article ID 108922, 6 p. (2024). MSC: 65N25 65N30 78M10 35Q61 58A14 35A15 PDFBibTeX XMLCite \textit{Z. Du} and \textit{H. Duan}, Appl. Math. Lett. 149, Article ID 108922, 6 p. (2024; Zbl 07782663) Full Text: DOI
Paredes, Diego; Valentin, Frédéric; Versieux, Henrique M. Revisiting the robustness of the multiscale hybrid-mixed method: the face-based strategy. (English) Zbl 1522.65223 J. Comput. Appl. Math. 436, Article ID 115415, 18 p. (2024). MSC: 65N30 65N12 65N15 35J25 35B65 35B05 PDFBibTeX XMLCite \textit{D. Paredes} et al., J. Comput. Appl. Math. 436, Article ID 115415, 18 p. (2024; Zbl 1522.65223) Full Text: DOI
Tang, Ming; Xing, Xiaoqing; Zhong, Liuqiang A posteriori error estimator for mixed interior penalty discontinuous Galerkin finite element method for the \(\boldsymbol{H}(\operatorname{curl})\)-elliptic problems. (English) Zbl 1522.65227 J. Comput. Appl. Math. 436, Article ID 115407, 17 p. (2024). MSC: 65N30 65N50 65N15 35A15 35B25 78A30 78M10 35Q60 PDFBibTeX XMLCite \textit{M. Tang} et al., J. Comput. Appl. Math. 436, Article ID 115407, 17 p. (2024; Zbl 1522.65227) Full Text: DOI arXiv
Ku, JaEun Localized pointwise error estimates for hybrid finite element methods. (English) Zbl 1519.65055 J. Comput. Appl. Math. 436, Article ID 115385, 13 p. (2024). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{J. Ku}, J. Comput. Appl. Math. 436, Article ID 115385, 13 p. (2024; Zbl 1519.65055) Full Text: DOI
Wu, Haijun; Zheng, Weiying Uniform convergence of multigrid V-cycle on adaptively refined finite element meshes for elliptic problems with discontinuous coefficients. (English) Zbl 07812201 Commun. Math. Res. 39, No. 3, 437-475 (2023). MSC: 65N55 65N12 PDFBibTeX XMLCite \textit{H. Wu} and \textit{W. Zheng}, Commun. Math. Res. 39, No. 3, 437--475 (2023; Zbl 07812201) Full Text: DOI
Aldbaissy, Rim; Chalhoub, Nancy; Djoko, J. K.; Sayah, Toni Full discretisation of the time dependent Navier-Stokes equations with anisotropic slip boundary condition. (English) Zbl 07793806 Int. J. Numer. Anal. Model. 20, No. 4, 497-517 (2023). MSC: 65N30 76M10 35J85 PDFBibTeX XMLCite \textit{R. Aldbaissy} et al., Int. J. Numer. Anal. Model. 20, No. 4, 497--517 (2023; Zbl 07793806) Full Text: DOI
Maity, Ruma Rani; Majumdar, Apala; Nataraj, Neela A priori and a posteriori error analysis for semilinear problems in liquid crystals. (English) Zbl 07792485 ESAIM, Math. Model. Numer. Anal. 57, No. 6, 3201-3250 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 35J15 35J60 65N12 65N15 35B45 35B65 31A30 76A15 82D30 76M10 35Q35 PDFBibTeX XMLCite \textit{R. R. Maity} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 6, 3201--3250 (2023; Zbl 07792485) Full Text: DOI
Bertrand, Fleurianne; Schneider, Henrik Superconvergence of DPG approximations in linear elasticity. (English) Zbl 07787593 ESAIM, Math. Model. Numer. Anal. 57, No. 5, 2681-2699 (2023). Reviewer: Xiaodi Zhang (Zhengzhou) MSC: 65N30 65N12 74B10 74S05 35B45 35Q74 PDFBibTeX XMLCite \textit{F. Bertrand} and \textit{H. Schneider}, ESAIM, Math. Model. Numer. Anal. 57, No. 5, 2681--2699 (2023; Zbl 07787593) Full Text: DOI arXiv
Zhan, Jiajun; Zhong, Liuqiang; Peng, Jie Iterative two-grid methods for discontinuous Galerkin finite element approximations of semilinear elliptic problem. (English) Zbl 07785130 Adv. Comput. Math. 49, No. 6, Paper No. 84, 22 p. (2023). MSC: 65N30 65N55 65N50 65N12 65N15 35J61 35A15 41A58 PDFBibTeX XMLCite \textit{J. Zhan} et al., Adv. Comput. Math. 49, No. 6, Paper No. 84, 22 p. (2023; Zbl 07785130) Full Text: DOI
Alonso-Rodríguez, Ana; Camaño, Jessika; De Los Santos, Eduardo; Rodríguez, Rodolfo Divergence-free finite elements for the numerical solution of a hydroelastic vibration problem. (English) Zbl 07779704 Numer. Methods Partial Differ. Equations 39, No. 1, 163-186 (2023). MSC: 65N30 65N25 76D03 74F10 74B10 74H45 35A15 74S05 76M10 35Q74 35Q35 PDFBibTeX XMLCite \textit{A. Alonso-Rodríguez} et al., Numer. Methods Partial Differ. Equations 39, No. 1, 163--186 (2023; Zbl 07779704) Full Text: DOI
Heltai, Luca; Zunino, Paolo Reduced Lagrange multiplier approach for non-matching coupling of mixed-dimensional domains. (English) Zbl 07778939 Math. Models Methods Appl. Sci. 33, No. 12, 2425-2462 (2023). MSC: 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{L. Heltai} and \textit{P. Zunino}, Math. Models Methods Appl. Sci. 33, No. 12, 2425--2462 (2023; Zbl 07778939) Full Text: DOI arXiv
Barrios, Tomás P.; Bustinza, Rommel; Campos, Camila A note on a posteriori error analysis for dual mixed methods with mixed boundary conditions. (English) Zbl 07777382 Numer. Methods Partial Differ. Equations 39, No. 5, 3897-3918 (2023). MSC: 65N30 65N15 65N50 35J05 35J25 PDFBibTeX XMLCite \textit{T. P. Barrios} et al., Numer. Methods Partial Differ. Equations 39, No. 5, 3897--3918 (2023; Zbl 07777382) Full Text: DOI
Du, Zhijie; Duan, Huoyuan; Wang, Can; Zhang, Qiuyu A Bochev-Dohrmann-Gunzburger stabilized method for Maxwell eigenproblem. (English) Zbl 07777379 Numer. Methods Partial Differ. Equations 39, No. 5, 3811-3846 (2023). MSC: 65N25 65N30 65N12 65N15 58A12 78A25 78M10 35A15 35Q60 PDFBibTeX XMLCite \textit{Z. Du} et al., Numer. Methods Partial Differ. Equations 39, No. 5, 3811--3846 (2023; Zbl 07777379) Full Text: DOI
Wang, Shixi; Bi, Hai; Yang, Yidu The a posteriori error estimates and an adaptive algorithm of the FEM for transmission eigenvalues for anisotropic media. (English) Zbl 07772641 Comput. Math. Appl. 150, 156-169 (2023). MSC: 65N30 65N25 65N15 35J05 35P15 PDFBibTeX XMLCite \textit{S. Wang} et al., Comput. Math. Appl. 150, 156--169 (2023; Zbl 07772641) Full Text: DOI arXiv
Chamoin, Ludovic; Legoll, Frédéric An introductory review on a posteriori error estimation in finite element computations. (English) Zbl 1528.65104 SIAM Rev. 65, No. 4, 963-1028 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N15 65B05 65N12 65N50 65-02 PDFBibTeX XMLCite \textit{L. Chamoin} and \textit{F. Legoll}, SIAM Rev. 65, No. 4, 963--1028 (2023; Zbl 1528.65104) Full Text: DOI arXiv
Balci, Anna Kh.; Diening, Lars; Storn, Johannes Relaxed Kačanov scheme for the \(p\)-Laplacian with large exponent. (English) Zbl 07770185 SIAM J. Numer. Anal. 61, No. 6, 2775-2794 (2023). MSC: 35J92 65N22 65N30 PDFBibTeX XMLCite \textit{A. Kh. Balci} et al., SIAM J. Numer. Anal. 61, No. 6, 2775--2794 (2023; Zbl 07770185) Full Text: DOI arXiv
Liu, Chen; Masri, Rami; Riviere, Beatrice Convergence of a decoupled splitting scheme for the Cahn-Hilliard-Navier-Stokes system. (English) Zbl 1528.65077 SIAM J. Numer. Anal. 61, No. 6, 2651-2694 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 76T06 76M10 76M20 35Q35 PDFBibTeX XMLCite \textit{C. Liu} et al., SIAM J. Numer. Anal. 61, No. 6, 2651--2694 (2023; Zbl 1528.65077) Full Text: DOI arXiv
Holst, Michael; Licht, Martin Geometric transformation of finite element methods: theory and applications. (English) Zbl 1528.65109 Appl. Numer. Math. 192, 389-413 (2023). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{M. Holst} and \textit{M. Licht}, Appl. Numer. Math. 192, 389--413 (2023; Zbl 1528.65109) Full Text: DOI arXiv
Li, Xuejian; Hawkins, Elizabeth V.; Rebholz, Leo G.; Vargun, Duygu Accelerating and enabling convergence of nonlinear solvers for Navier-Stokes equations by continuous data assimilation. (English) Zbl 07761308 Comput. Methods Appl. Mech. Eng. 416, Article ID 116313, 17 p. (2023). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{X. Li} et al., Comput. Methods Appl. Mech. Eng. 416, Article ID 116313, 17 p. (2023; Zbl 07761308) Full Text: DOI arXiv
Cangiani, Andrea; Dong, Zhaonan; Georgoulis, Emmanuil H. A posteriori error estimates for discontinuous Galerkin methods on polygonal and polyhedral meshes. (English) Zbl 1526.65052 SIAM J. Numer. Anal. 61, No. 5, 2352-2380 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65J10 65N15 65N12 65N50 65N85 41A25 PDFBibTeX XMLCite \textit{A. Cangiani} et al., SIAM J. Numer. Anal. 61, No. 5, 2352--2380 (2023; Zbl 1526.65052) Full Text: DOI arXiv
Chen, Mingqing; Huang, Jianguo; Huang, Xuehai A robust lower-order mixed finite element method for a strain gradient elastic model. (English) Zbl 1527.65126 SIAM J. Numer. Anal. 61, No. 5, 2237-2260 (2023). MSC: 65N30 65N12 65N15 65N22 74B10 35B65 31A30 35Q74 PDFBibTeX XMLCite \textit{M. Chen} et al., SIAM J. Numer. Anal. 61, No. 5, 2237--2260 (2023; Zbl 1527.65126) Full Text: DOI arXiv
Monsuur, Harald; Stevenson, Rob A pollution-free ultra-weak FOSLS discretization of the Helmholtz equation. (English) Zbl 07750294 Comput. Math. Appl. 148, 241-255 (2023). MSC: 65N30 35J05 65N12 65N15 65M60 PDFBibTeX XMLCite \textit{H. Monsuur} and \textit{R. Stevenson}, Comput. Math. Appl. 148, 241--255 (2023; Zbl 07750294) Full Text: DOI arXiv
Du, Zhijie; Duan, Huoyuan A stabilized finite element method on nonaffine grids for time-harmonic Maxwell’s equations. (English) Zbl 1526.65054 BIT 63, No. 4, Paper No. 47, 32 p. (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N12 78A25 78M10 35Q61 PDFBibTeX XMLCite \textit{Z. Du} and \textit{H. Duan}, BIT 63, No. 4, Paper No. 47, 32 p. (2023; Zbl 1526.65054) Full Text: DOI
Stevenson, Rob; Storn, Johannes Interpolation operators for parabolic problems. (English) Zbl 1523.65011 Numer. Math. 155, No. 1-2, 211-238 (2023). MSC: 65D05 65M12 65M15 65M60 PDFBibTeX XMLCite \textit{R. Stevenson} and \textit{J. Storn}, Numer. Math. 155, No. 1--2, 211--238 (2023; Zbl 1523.65011) Full Text: DOI arXiv OA License
Zhang, Shangyou A subspace of linear nonconforming finite element for nearly incompressible elasticity and Stokes flow. (English) Zbl 07745015 J. Numer. Math. 31, No. 3, 157-173 (2023). MSC: 65-XX 65N15 65N30 76M10 PDFBibTeX XMLCite \textit{S. Zhang}, J. Numer. Math. 31, No. 3, 157--173 (2023; Zbl 07745015) Full Text: DOI
Dakroub, Jad; Faddoul, Joanna; Omnes, Pascal; Sayah, Toni A posteriori error estimates for the time-dependent Navier-Stokes system coupled with the convection-diffusion-reaction equation. (English) Zbl 07741461 Adv. Comput. Math. 49, No. 4, Paper No. 67, 60 p. (2023). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{J. Dakroub} et al., Adv. Comput. Math. 49, No. 4, Paper No. 67, 60 p. (2023; Zbl 07741461) Full Text: DOI
Dahmen, Wolfgang; Monsuur, Harald; Stevenson, Rob Least squares solvers for ill-posed PDEs that are conditionally stable. (English) Zbl 07739211 ESAIM, Math. Model. Numer. Anal. 57, No. 4, 2227-2255 (2023). MSC: 65-XX 35B30 35B35 35B45 35R25 65F08 65J20 65M12 65N12 PDFBibTeX XMLCite \textit{W. Dahmen} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 4, 2227--2255 (2023; Zbl 07739211) Full Text: DOI arXiv
Li, Yanjun; Yang, Yidu; Bi, Hai The a priori and a posteriori error estimates for modified interior transmission eigenvalue problem in inverse scattering. (English) Zbl 1519.65049 Commun. Comput. Phys. 34, No. 2, 503-529 (2023). MSC: 65N25 65N15 65N30 PDFBibTeX XMLCite \textit{Y. Li} et al., Commun. Comput. Phys. 34, No. 2, 503--529 (2023; Zbl 1519.65049) Full Text: DOI
Kaltenbach, Alex; Růžička, Michael Convergence analysis of a local discontinuous Galerkin approximation for nonlinear systems with balanced Orlicz-structure. (English) Zbl 1522.35226 ESAIM, Math. Model. Numer. Anal. 57, No. 3, 1381-1411 (2023). MSC: 35J57 35J92 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{A. Kaltenbach} and \textit{M. Růžička}, ESAIM, Math. Model. Numer. Anal. 57, No. 3, 1381--1411 (2023; Zbl 1522.35226) Full Text: DOI arXiv
Görtz, Morgan; Ljung, Per; Målqvist, Axel Multiscale methods for solving wave equations on spatial networks. (English) Zbl 07737579 Comput. Methods Appl. Mech. Eng. 410, Article ID 116008, 24 p. (2023). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{M. Görtz} et al., Comput. Methods Appl. Mech. Eng. 410, Article ID 116008, 24 p. (2023; Zbl 07737579) Full Text: DOI arXiv
Burman, Erik; Feizmohammadi, Ali; Münch, Arnaud; Oksanen, Lauri Spacetime finite element methods for control problems subject to the wave equation. (English) Zbl 07734413 ESAIM, Control Optim. Calc. Var. 29, Paper No. 41, 40 p. (2023). MSC: 65-XX 35L05 93-08 65M12 65M60 PDFBibTeX XMLCite \textit{E. Burman} et al., ESAIM, Control Optim. Calc. Var. 29, Paper No. 41, 40 p. (2023; Zbl 07734413) Full Text: DOI arXiv
Chen, Wei; Hu, Jun; Zhang, Min Nonconforming finite element methods of order two and order three for the Stokes flow in three dimensions. (English) Zbl 1522.65203 J. Sci. Comput. 97, No. 1, Paper No. 1, 31 p. (2023). MSC: 65N30 65N15 65N12 35B45 76D07 PDFBibTeX XMLCite \textit{W. Chen} et al., J. Sci. Comput. 97, No. 1, Paper No. 1, 31 p. (2023; Zbl 1522.65203) Full Text: DOI arXiv
Araya, Rodolfo; Chouly, Franz Residual a posteriori error estimation for frictional contact with Nitsche method. (English) Zbl 07730750 J. Sci. Comput. 96, No. 3, Paper No. 87, 31 p. (2023). MSC: 65N12 65N15 65N30 74M10 74M15 74M20 PDFBibTeX XMLCite \textit{R. Araya} and \textit{F. Chouly}, J. Sci. Comput. 96, No. 3, Paper No. 87, 31 p. (2023; Zbl 07730750) Full Text: DOI
Borthagaray, Juan Pablo; Nochetto, Ricardo H.; Wu, Shuonan; Xu, Jinchao Robust BPX preconditioner for fractional Laplacians on bounded Lipschitz domains. (English) Zbl 1521.65123 Math. Comput. 92, No. 344, 2439-2473 (2023). MSC: 65N30 35R11 65F08 65N55 PDFBibTeX XMLCite \textit{J. P. Borthagaray} et al., Math. Comput. 92, No. 344, 2439--2473 (2023; Zbl 1521.65123) Full Text: DOI arXiv
Huang, Xuehai Nonconforming finite element Stokes complexes in three dimensions. (English) Zbl 1522.65211 Sci. China, Math. 66, No. 8, 1879-1902 (2023). MSC: 65N30 65N12 65N15 65N22 76D07 76W05 35Q35 PDFBibTeX XMLCite \textit{X. Huang}, Sci. China, Math. 66, No. 8, 1879--1902 (2023; Zbl 1522.65211) Full Text: DOI arXiv
Feist, Bernd; Bebendorf, Mario Fractional Laplacian – quadrature rules for singular double integrals in 3D. (English) Zbl 1516.65020 Comput. Methods Appl. Math. 23, No. 3, 623-645 (2023). MSC: 65D32 65D30 65N30 35R11 PDFBibTeX XMLCite \textit{B. Feist} and \textit{M. Bebendorf}, Comput. Methods Appl. Math. 23, No. 3, 623--645 (2023; Zbl 1516.65020) Full Text: DOI arXiv
Burman, Erik; Preuss, Janosch Unique continuation for the Lamé system using stabilized finite element methods. (English) Zbl 1519.35108 GEM. Int. J. Geomath. 14, Paper No. 9, 36 p. (2023). MSC: 35J47 65N12 65N30 PDFBibTeX XMLCite \textit{E. Burman} and \textit{J. Preuss}, GEM. Int. J. Geomath. 14, Paper No. 9, 36 p. (2023; Zbl 1519.35108) Full Text: DOI arXiv
Hou, Yan Ren; Xue, Dan Dan; Jiang, Yao Lin On the weak solutions to steady-state mixed Navier-Stokes/Darcy model. (English) Zbl 1524.76125 Acta Math. Sin., Engl. Ser. 39, No. 5, 939-951 (2023). MSC: 76D03 76D05 76S05 PDFBibTeX XMLCite \textit{Y. R. Hou} et al., Acta Math. Sin., Engl. Ser. 39, No. 5, 939--951 (2023; Zbl 1524.76125) Full Text: DOI
Sayah, Toni; Semaan, Georges; Triki, Faouzi A posteriori error estimates for Darcy-Forchheimer’s problem. (English) Zbl 1514.65179 Comput. Methods Appl. Math. 23, No. 2, 517-544 (2023). MSC: 65N30 65N15 65J15 PDFBibTeX XMLCite \textit{T. Sayah} et al., Comput. Methods Appl. Math. 23, No. 2, 517--544 (2023; Zbl 1514.65179) Full Text: DOI arXiv
Ye, Changqing; Chung, Eric T. Constraint energy minimizing generalized multiscale finite element method for inhomogeneous boundary value problems with high contrast coefficients. (English) Zbl 1514.65181 Multiscale Model. Simul. 21, No. 1, 194-217 (2023). MSC: 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{C. Ye} and \textit{E. T. Chung}, Multiscale Model. Simul. 21, No. 1, 194--217 (2023; Zbl 1514.65181) Full Text: DOI arXiv
Shih, Yu-hsuan; Stadler, Georg; Wechsung, Florian Robust multigrid techniques for augmented Lagrangian preconditioning of incompressible Stokes equations with extreme viscosity variations. (English) Zbl 1518.65029 SIAM J. Sci. Comput. 45, No. 3, S27-S53 (2023). MSC: 65F08 65F10 65N55 65Y05 76D07 PDFBibTeX XMLCite \textit{Y.-h. Shih} et al., SIAM J. Sci. Comput. 45, No. 3, S27--S53 (2023; Zbl 1518.65029) Full Text: DOI arXiv
Badia, Santiago; Bonilla, Jesús; Gutiérrez-Santacreu, Juan Vicente Bound-preserving finite element approximations of the Keller-Segel equations. (English) Zbl 07701408 Math. Models Methods Appl. Sci. 33, No. 3, 609-642 (2023). MSC: 65-XX 35K20 35K55 65N30 PDFBibTeX XMLCite \textit{S. Badia} et al., Math. Models Methods Appl. Sci. 33, No. 3, 609--642 (2023; Zbl 07701408) Full Text: DOI arXiv
Ma, Chuwen; Tian, Tian; Zheng, Weiying High-order unfitted characteristic finite element methods for moving interface problem of Oseen equations. (English) Zbl 1514.65133 J. Comput. Appl. Math. 425, Article ID 115028, 29 p. (2023). MSC: 65M60 65L07 76D05 PDFBibTeX XMLCite \textit{C. Ma} et al., J. Comput. Appl. Math. 425, Article ID 115028, 29 p. (2023; Zbl 1514.65133) Full Text: DOI
Garg, Divay; Porwal, Kamana Unified discontinuous Galerkin finite element methods for second order Dirichlet boundary control problem. (English) Zbl 07699013 Appl. Numer. Math. 185, 336-364 (2023). MSC: 65Nxx 49Mxx 65Kxx PDFBibTeX XMLCite \textit{D. Garg} and \textit{K. Porwal}, Appl. Numer. Math. 185, 336--364 (2023; Zbl 07699013) Full Text: DOI
Zhang, Qian; Ji, Haifeng; Liang, Dong Unfitted finite element methods based on correction functions for Stokes flows with singular forces of low regularity. (English) Zbl 1521.76385 Comput. Fluids 256, Article ID 105861, 12 p. (2023). MSC: 76M10 65N15 65N12 65N30 76D07 PDFBibTeX XMLCite \textit{Q. Zhang} et al., Comput. Fluids 256, Article ID 105861, 12 p. (2023; Zbl 1521.76385) Full Text: DOI
Guo, Liming; Bi, Chunjia Convergence and quasi-optimality of an adaptive finite element method for nonmonotone quasi-linear elliptic problems on \(L^2\) errors. (English) Zbl 07692015 Comput. Math. Appl. 139, 38-56 (2023). MSC: 65N30 65N12 65N15 65N50 35J25 PDFBibTeX XMLCite \textit{L. Guo} and \textit{C. Bi}, Comput. Math. Appl. 139, 38--56 (2023; Zbl 07692015) Full Text: DOI
Xie, Yingying; Zhong, Liuqiang; Tang, Ming A posteriori error estimate for a modified weak Galerkin method of 2D \(\boldsymbol{H}(\mathrm{curl})\) elliptic problems. (English) Zbl 07692001 Comput. Math. Appl. 142, 307-321 (2023). MSC: 65N30 65N15 65N12 78M10 35J25 PDFBibTeX XMLCite \textit{Y. Xie} et al., Comput. Math. Appl. 142, 307--321 (2023; Zbl 07692001) Full Text: DOI
Liu, Haoran; Neilan, Michael; Olshanskii, Maxim A CutFEM divergence-free discretization for the Stokes problem. (English) Zbl 1514.65174 ESAIM, Math. Model. Numer. Anal. 57, No. 1, 143-165 (2023). MSC: 65N30 65N12 65N15 76D07 76M10 35Q35 PDFBibTeX XMLCite \textit{H. Liu} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 1, 143--165 (2023; Zbl 1514.65174) Full Text: DOI arXiv
Sogn, Jarle; Takacs, Stefan Stable discretizations and IETI-DP solvers for the Stokes system in multi-patch IgA. (English) Zbl 1524.76153 ESAIM, Math. Model. Numer. Anal. 57, No. 2, 921-952 (2023). MSC: 76D07 65D07 65N55 PDFBibTeX XMLCite \textit{J. Sogn} and \textit{S. Takacs}, ESAIM, Math. Model. Numer. Anal. 57, No. 2, 921--952 (2023; Zbl 1524.76153) Full Text: DOI arXiv
Borthagaray, Juan Pablo; Nochetto, Ricardo H. Constructive approximation on graded meshes for the integral fractional Laplacian. (English) Zbl 07680067 Constr. Approx. 57, No. 2, 463-487 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{J. P. Borthagaray} and \textit{R. H. Nochetto}, Constr. Approx. 57, No. 2, 463--487 (2023; Zbl 07680067) Full Text: DOI arXiv
Jayadharan, Manu; Kern, Michel; Vohralík, Martin; Yotov, Ivan A space-time multiscale mortar mixed finite element method for parabolic equations. (English) Zbl 07679124 SIAM J. Numer. Anal. 61, No. 2, 675-706 (2023). Reviewer: Shuji Yoshikawa (Oita) MSC: 65M55 65M60 65N30 65N50 65M12 65M15 65N15 65M22 65F08 65Y05 PDFBibTeX XMLCite \textit{M. Jayadharan} et al., SIAM J. Numer. Anal. 61, No. 2, 675--706 (2023; Zbl 07679124) Full Text: DOI arXiv
Khandelwal, Rohit; Porwal, Kamana; Singla, Ritesh Supremum-norm a posteriori error control of quadratic discontinuous Galerkin methods for the obstacle problem. (English) Zbl 07674331 Comput. Math. Appl. 137, 147-171 (2023). MSC: 65N30 49J40 65N15 65K10 49M15 PDFBibTeX XMLCite \textit{R. Khandelwal} et al., Comput. Math. Appl. 137, 147--171 (2023; Zbl 07674331) Full Text: DOI arXiv
Chen, Gang; Xie, Xiaoping; Xu, Youcai; Zhang, Yangwen A locking-free stabilized embedded discontinuous Galerkin method for linear elasticity with strong symmetric stress and continuous displacement trace approximation. (English) Zbl 07674294 Comput. Math. Appl. 134, 66-86 (2023). MSC: 65N30 74B05 74S05 PDFBibTeX XMLCite \textit{G. Chen} et al., Comput. Math. Appl. 134, 66--86 (2023; Zbl 07674294) Full Text: DOI
Diening, Lars; Storn, Johannes; Tscherpel, Tabea Interpolation operator on negative Sobolev spaces. (English) Zbl 1511.65014 Math. Comput. 92, No. 342, 1511-1541 (2023). MSC: 65D05 65M15 65N15 65N30 PDFBibTeX XMLCite \textit{L. Diening} et al., Math. Comput. 92, No. 342, 1511--1541 (2023; Zbl 1511.65014) Full Text: DOI arXiv
Bringmann, Philipp How to prove optimal convergence rates for adaptive least-squares finite element methods. (English) Zbl 1515.65285 J. Numer. Math. 31, No. 1, 43-58 (2023). Reviewer: Xiaodi Zhang (Zhengzhou) MSC: 65N30 65K10 65N50 65N12 65N15 65Y20 42A20 35J05 76D07 74B10 74J05 PDFBibTeX XMLCite \textit{P. Bringmann}, J. Numer. Math. 31, No. 1, 43--58 (2023; Zbl 1515.65285) Full Text: DOI
Gong, Wei; Liang, Dongdong; Xie, Xiaoping Pointwise error estimates for linear finite element approximation to elliptic Dirichlet problems in smooth domains. (English) Zbl 1514.65156 Adv. Comput. Math. 49, No. 2, Paper No. 15, 33 p. (2023). MSC: 65N15 65N30 35A15 35J25 PDFBibTeX XMLCite \textit{W. Gong} et al., Adv. Comput. Math. 49, No. 2, Paper No. 15, 33 p. (2023; Zbl 1514.65156) Full Text: DOI
Boon, Wietse M.; Gläser, Dennis; Helmig, Rainer; Yotov, Ivan Flux-mortar mixed finite element methods with multipoint flux approximation. (English) Zbl 07653070 Comput. Methods Appl. Mech. Eng. 405, Article ID 115870, 28 p. (2023). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{W. M. Boon} et al., Comput. Methods Appl. Mech. Eng. 405, Article ID 115870, 28 p. (2023; Zbl 07653070) Full Text: DOI arXiv
Bulle, Raphaël; Hale, Jack S.; Lozinski, Alexei; Bordas, Stéphane P. A.; Chouly, Franz Hierarchical a posteriori error estimation of Bank-Weiser type in the FEniCS project. (English) Zbl 1524.65767 Comput. Math. Appl. 131, 103-123 (2023). MSC: 65N30 65N15 35J25 65N50 35J05 65N12 74B10 PDFBibTeX XMLCite \textit{R. Bulle} et al., Comput. Math. Appl. 131, 103--123 (2023; Zbl 1524.65767) Full Text: DOI arXiv
Zhang, Shun A simple proof of coerciveness of first-order system least-squares methods for general second-order elliptic PDEs. (English) Zbl 1524.65879 Comput. Math. Appl. 130, 98-104 (2023). MSC: 65N30 65N15 35J25 65N12 65N50 65K10 PDFBibTeX XMLCite \textit{S. Zhang}, Comput. Math. Appl. 130, 98--104 (2023; Zbl 1524.65879) Full Text: DOI arXiv
Mabdaoui, Mohamed; Moussa, Hicham; Rhoudaf, Mohamed Variational approximation in modular spaces by using finite element method approach. (English) Zbl 07637647 Numer. Funct. Anal. Optim. 44, No. 1, 64-85 (2023). MSC: 65-XX 41-XX PDFBibTeX XMLCite \textit{M. Mabdaoui} et al., Numer. Funct. Anal. Optim. 44, No. 1, 64--85 (2023; Zbl 07637647) Full Text: DOI
Duan, Songyao; Wu, Haijun Adaptive FEM for Helmholtz equation with large wavenumber. (English) Zbl 1504.65253 J. Sci. Comput. 94, No. 1, Paper No. 21, 33 p. (2023). MSC: 65N30 65N12 65N15 35J05 78A40 PDFBibTeX XMLCite \textit{S. Duan} and \textit{H. Wu}, J. Sci. Comput. 94, No. 1, Paper No. 21, 33 p. (2023; Zbl 1504.65253) Full Text: DOI arXiv
Gong, Shihua; Graham, Ivan G.; Spence, Euan A. Convergence of restricted additive Schwarz with impedance transmission conditions for discretised Helmholtz problems. (English) Zbl 1500.35105 Math. Comput. 92, No. 339, 175-215 (2023). MSC: 35J05 65N30 PDFBibTeX XMLCite \textit{S. Gong} et al., Math. Comput. 92, No. 339, 175--215 (2023; Zbl 1500.35105) Full Text: DOI arXiv
Hu, Kaibo; Zhang, Qian; Zhang, Zhimin A family of finite element Stokes complexes in three dimensions. (English) Zbl 1522.65212 SIAM J. Numer. Anal. 60, No. 1, 222-243 (2022). MSC: 65N30 65N15 35B45 76D07 76W05 58A12 35Q35 35Q60 PDFBibTeX XMLCite \textit{K. Hu} et al., SIAM J. Numer. Anal. 60, No. 1, 222--243 (2022; Zbl 1522.65212) Full Text: DOI arXiv
Bonito, Andrea; Lei, Wenyu Approximation of the spectral fractional powers of the Laplace-Beltrami operator. (English) Zbl 1524.65760 Numer. Math., Theory Methods Appl. 15, No. 4, 1193-1218 (2022). MSC: 65N30 35P05 65N12 65N15 65R20 PDFBibTeX XMLCite \textit{A. Bonito} and \textit{W. Lei}, Numer. Math., Theory Methods Appl. 15, No. 4, 1193--1218 (2022; Zbl 1524.65760) Full Text: DOI arXiv
Gudi, Thirupathi; Mallik, Gouranga; Sau, Ramesh Ch. Finite element analysis of a constrained Dirichlet boundary control problem governed by a linear parabolic equation. (English) Zbl 1516.65130 SIAM J. Control Optim. 60, No. 6, 3262-3288 (2022). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65N15 65N12 65K10 49M41 35K85 PDFBibTeX XMLCite \textit{T. Gudi} et al., SIAM J. Control Optim. 60, No. 6, 3262--3288 (2022; Zbl 1516.65130) Full Text: DOI arXiv
Larsson, Stig (ed.); Nochetto, Ricardo (ed.); Sauter, Stefan (ed.); Wieners, Christian (ed.) Space-time methods for time-dependent partial differential equations. Abstracts from the workshop held February 6–12, 2022. (English) Zbl 1506.00088 Oberwolfach Rep. 19, No. 1, 303-381 (2022). MSC: 00B05 00B25 65-06 65N30 65N38 65N12 PDFBibTeX XMLCite \textit{S. Larsson} (ed.) et al., Oberwolfach Rep. 19, No. 1, 303--381 (2022; Zbl 1506.00088) Full Text: DOI
Wheeler, Mary F.; Girault, Vivette; Li, Hanyu A posteriori error estimates for Biot system using a mixed discretization for flow. (English) Zbl 1507.74520 Comput. Methods Appl. Mech. Eng. 402, Article ID 115240, 49 p. (2022). MSC: 74S05 65N15 65N30 PDFBibTeX XMLCite \textit{M. F. Wheeler} et al., Comput. Methods Appl. Mech. Eng. 402, Article ID 115240, 49 p. (2022; Zbl 1507.74520) Full Text: DOI
Zhao, Lina; Chung, Eric An adaptive discontinuous Galerkin method for the Darcy system in fractured porous media. (English) Zbl 1502.76102 Comput. Geosci. 26, No. 6, 1581-1596 (2022). MSC: 76S05 76-10 PDFBibTeX XMLCite \textit{L. Zhao} and \textit{E. Chung}, Comput. Geosci. 26, No. 6, 1581--1596 (2022; Zbl 1502.76102) Full Text: DOI arXiv
Wu, Zhizhang; Zhang, Zhiwen Convergence analysis of the localized orthogonal decomposition method for the semiclassical Schrödinger equations with multiscale potentials. (English) Zbl 1503.65275 J. Sci. Comput. 93, No. 3, Paper No. 73, 30 p. (2022). MSC: 65M99 65M12 65M15 65K10 49M41 35B05 35B65 74Q10 35Q41 PDFBibTeX XMLCite \textit{Z. Wu} and \textit{Z. Zhang}, J. Sci. Comput. 93, No. 3, Paper No. 73, 30 p. (2022; Zbl 1503.65275) Full Text: DOI arXiv
Langer, Ulrich; Schafelner, Andreas Adaptive space-time finite element methods for parabolic optimal control problems. (English) Zbl 1527.65099 J. Numer. Math. 30, No. 4, 247-266 (2022). MSC: 65M60 35K20 49J20 49M41 65M15 65M50 65Y05 PDFBibTeX XMLCite \textit{U. Langer} and \textit{A. Schafelner}, J. Numer. Math. 30, No. 4, 247--266 (2022; Zbl 1527.65099) Full Text: DOI
Li, Buyang; Ma, Shu; Ueda, Yuki Analysis of fully discrete finite element methods for 2D Navier-Stokes equations with critical initial data. (English) Zbl 1503.65238 ESAIM, Math. Model. Numer. Anal. 56, No. 6, 2105-2139 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 76D05 76M10 76M20 35Q30 PDFBibTeX XMLCite \textit{B. Li} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 6, 2105--2139 (2022; Zbl 1503.65238) Full Text: DOI arXiv
Bringmann, Philipp; Carstensen, Carsten; Tran, Ngoc Tien Adaptive least-squares, discontinuous Petrov-Galerkin, and hybrid high-order methods. (English) Zbl 1513.74150 Schröder, Jörg (ed.) et al., Non-standard discretisation methods in solid mechanics. Cham: Springer. Lect. Notes Appl. Comput. Mech. 98, 107-147 (2022). MSC: 74S05 74B05 74P10 PDFBibTeX XMLCite \textit{P. Bringmann} et al., Lect. Notes Appl. Comput. Mech. 98, 107--147 (2022; Zbl 1513.74150) Full Text: DOI
Chen, Dongqin; Li, Qiuqi; Song, Huailing Error analysis of a stable reduced order model based on the proper orthogonal decomposition method for the Allen-Cahn-Navier-Stokes system. (English) Zbl 1507.74458 Comput. Methods Appl. Mech. Eng. 401, Part B, Article ID 115661, 30 p. (2022). MSC: 74S05 65M15 35M30 65M60 PDFBibTeX XMLCite \textit{D. Chen} et al., Comput. Methods Appl. Mech. Eng. 401, Part B, Article ID 115661, 30 p. (2022; Zbl 1507.74458) Full Text: DOI
Burman, Erik; Hansbo, Peter; Larson, Mats G. CutFEM based on extended finite element spaces. (English) Zbl 1497.65221 Numer. Math. 152, No. 2, 331-369 (2022). MSC: 65N30 65N85 65N50 65N12 35B35 35B65 35B45 31A30 PDFBibTeX XMLCite \textit{E. Burman} et al., Numer. Math. 152, No. 2, 331--369 (2022; Zbl 1497.65221) Full Text: DOI arXiv
Faustmann, Markus; Melenk, Jens Markus; Parvizi, Maryam \({\mathcal{H}} \)-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations. (English) Zbl 1502.65199 Adv. Comput. Math. 48, No. 5, Paper No. 59, 32 p. (2022). MSC: 65N30 65F55 78A25 35Q61 PDFBibTeX XMLCite \textit{M. Faustmann} et al., Adv. Comput. Math. 48, No. 5, Paper No. 59, 32 p. (2022; Zbl 1502.65199) Full Text: DOI arXiv
Gazca-Orozco, Pablo Alexei; Patel, Victoria Weak-strong uniqueness for heat conducting non-Newtonian incompressible fluids. (English) Zbl 1504.35322 Nonlinear Anal., Real World Appl. 68, Article ID 103664, 26 p. (2022). MSC: 35Q35 76A05 35C08 35D30 35A01 35A02 37K10 76M10 PDFBibTeX XMLCite \textit{P. A. Gazca-Orozco} and \textit{V. Patel}, Nonlinear Anal., Real World Appl. 68, Article ID 103664, 26 p. (2022; Zbl 1504.35322) Full Text: DOI arXiv
Zhang, Jiachuan; Zhang, Ran; Wang, Xiaoshen A posteriori estimates of Taylor-Hood element for Stokes problem using auxiliary subspace techniques. (English) Zbl 1497.65242 J. Sci. Comput. 93, No. 1, Paper No. 16, 38 p. (2022). MSC: 65N30 65N50 65N15 65N12 76D07 PDFBibTeX XMLCite \textit{J. Zhang} et al., J. Sci. Comput. 93, No. 1, Paper No. 16, 38 p. (2022; Zbl 1497.65242) Full Text: DOI arXiv
Wang, Wansheng; Yi, Lijun Delay-dependent elliptic reconstruction and optimal \(L^\infty (L^2)\) a posteriori error estimates for fully discrete delay parabolic problems. (English) Zbl 1506.65141 Math. Comput. 91, No. 338, 2609-2643 (2022). Reviewer: Abdullah Erdoğan (Lake Worth) MSC: 65M12 65M15 65L06 65M60 65M06 65N30 65M32 35R07 PDFBibTeX XMLCite \textit{W. Wang} and \textit{L. Yi}, Math. Comput. 91, No. 338, 2609--2643 (2022; Zbl 1506.65141) Full Text: DOI
Lu, Peipei; Rupp, Andreas; Kanschat, Guido Analysis of injection operators in geometric multigrid solvers for HDG methods. (English) Zbl 1514.65192 SIAM J. Numer. Anal. 60, No. 4, 2293-2317 (2022). Reviewer: Martin Kronbichler (München) MSC: 65N55 65F10 65N30 PDFBibTeX XMLCite \textit{P. Lu} et al., SIAM J. Numer. Anal. 60, No. 4, 2293--2317 (2022; Zbl 1514.65192) Full Text: DOI arXiv
Feischl, Michael Inf-sup stability implies quasi-orthogonality. (English) Zbl 1503.65292 Math. Comput. 91, No. 337, 2059-2094 (2022). Reviewer: Zhen Chao (Milwaukee) MSC: 65N30 65N50 15A23 76D07 65F35 PDFBibTeX XMLCite \textit{M. Feischl}, Math. Comput. 91, No. 337, 2059--2094 (2022; Zbl 1503.65292) Full Text: DOI arXiv
Wang, Zhoufeng An adaptive finite volume method for the diffraction grating problem with the truncated DtN boundary condition. (English) Zbl 1492.65290 Adv. Comput. Math. 48, No. 4, Paper No. 48, 28 p. (2022). MSC: 65N08 65N30 65N15 65N50 PDFBibTeX XMLCite \textit{Z. Wang}, Adv. Comput. Math. 48, No. 4, Paper No. 48, 28 p. (2022; Zbl 1492.65290) Full Text: DOI
Ma, Chuwen; Zhang, Qinghai; Zheng, Weiying A fourth-order unfitted characteristic finite element method for solving the advection-diffusion equation on time-varying domains. (English) Zbl 1503.65240 SIAM J. Numer. Anal. 60, No. 4, 2203-2224 (2022). Reviewer: Zhen Chao (Milwaukee) MSC: 65M60 65M06 65N30 65M12 65M15 65L06 76R50 76T30 35R37 PDFBibTeX XMLCite \textit{C. Ma} et al., SIAM J. Numer. Anal. 60, No. 4, 2203--2224 (2022; Zbl 1503.65240) Full Text: DOI arXiv
Deugoue, G.; Djoko, J. K.; Konlack, V. S.; Mbehou, M. Numerical analysis of a Darcy-Forchheimer model coupled with the heat equation. (English) Zbl 1502.65096 J. Sci. Comput. 92, No. 2, Paper No. 55, 36 p. (2022). MSC: 65M50 65M12 65M15 35K05 35A15 76S05 76M10 35Q35 PDFBibTeX XMLCite \textit{G. Deugoue} et al., J. Sci. Comput. 92, No. 2, Paper No. 55, 36 p. (2022; Zbl 1502.65096) Full Text: DOI
Baier-Reinio, Aaron; Rhebergen, Sander; Wells, Garth N. Analysis of pressure-robust embedded-hybridized discontinuous Galerkin methods for the Stokes problem under minimal regularity. (English) Zbl 1492.65300 J. Sci. Comput. 92, No. 2, Paper No. 51, 25 p. (2022). MSC: 65N30 65N12 65N15 76D07 PDFBibTeX XMLCite \textit{A. Baier-Reinio} et al., J. Sci. Comput. 92, No. 2, Paper No. 51, 25 p. (2022; Zbl 1492.65300) Full Text: DOI arXiv
Sorokina, Tatyana; Zhang, Shangyou An interpolated Galerkin finite element method for the Poisson equation. (English) Zbl 1492.65330 J. Sci. Comput. 92, No. 2, Paper No. 47, 14 p. (2022). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{T. Sorokina} and \textit{S. Zhang}, J. Sci. Comput. 92, No. 2, Paper No. 47, 14 p. (2022; Zbl 1492.65330) Full Text: DOI arXiv
Gorynina, Olga; Le Bris, Claude; Legoll, Frédéric Mathematical analysis of a coupling method for the practical computation of homogenized coefficients. (English) Zbl 1497.35135 ESAIM, Control Optim. Calc. Var. 28, Paper No. 44, 47 p. (2022). MSC: 35J15 35B27 74Q15 65M08 PDFBibTeX XMLCite \textit{O. Gorynina} et al., ESAIM, Control Optim. Calc. Var. 28, Paper No. 44, 47 p. (2022; Zbl 1497.35135) Full Text: DOI arXiv
Burman, Erik; Durst, Rebecca; Fernández, Miguel A.; Guzmán, Johnny Fully discrete loosely coupled Robin-Robin scheme for incompressible fluid-structure interaction: stability and error analysis. (English) Zbl 1496.65157 Numer. Math. 151, No. 4, 807-840 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 74F10 76D33 PDFBibTeX XMLCite \textit{E. Burman} et al., Numer. Math. 151, No. 4, 807--840 (2022; Zbl 1496.65157) Full Text: DOI arXiv
Wang, Lixiu; Zhang, Qian; Sun, Jiguang; Zhang, Zhimin A priori and a posteriori error estimates for the quad-curl eigenvalue problem. (English) Zbl 1490.65256 ESAIM, Math. Model. Numer. Anal. 56, No. 3, 1027-1051 (2022). MSC: 65N25 65N15 65N30 76W05 PDFBibTeX XMLCite \textit{L. Wang} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 3, 1027--1051 (2022; Zbl 1490.65256) Full Text: DOI arXiv
Ling, Min; Han, Weimin; Zeng, Shengda A pressure projection stabilized mixed finite element method for a Stokes hemivariational inequality. (English) Zbl 1492.65320 J. Sci. Comput. 92, No. 1, Paper No. 13, 21 p. (2022). MSC: 65N30 65N15 65N12 76D07 35B65 35A23 PDFBibTeX XMLCite \textit{M. Ling} et al., J. Sci. Comput. 92, No. 1, Paper No. 13, 21 p. (2022; Zbl 1492.65320) Full Text: DOI